表征液态金属结构双体分布函数的讲授方法

TEACHING METHOD OF PAIR DISTRIBUTION FUNCTION TO CHARACTERIZE LIQUID ALLOY STRUCRURE

双体分布函数是表征液态金属结构的重要方法,对理解液态结构具有重要的作用。本文根据分布函数能够完整地描述随机变量统计规律的内涵,并且决定随机变量其他概率特征的基本属性,结合双体分布函数简洁的数学表达和抽象的物理表征,在课程教学过程中,从双体分布函数的物理意义入手,介绍了实验中测量双体分布函数的手段,同时讲解了计算模拟中双体分布函数的统计方法,并以液态金属Nb和液态Ni-Zr合金的前沿科技成果为例,分析了不同有序度双体分布函数的曲线特征,讲授了其中物理过程与数学模型的内在联系。以典型案例将双体分布函数与液态结构变化的知识同步传授,形象且深刻地讲解了双体分布函数在液态金属结构中的表征过程。

As a fundamental characterizing method, the pair distribution function plays an important role to understand the liquid alloy structure. It completely describes connotation of the statistical law of random variables and determines the basic attributes of other probability characteristics of random variables. The pair distribution function also provides concise mathematical expression and abstract physical representation. Combined with the concise mathematical expression and abstract physical representation of the pair distribution function, how to measure the pair distribution function in the experiment is introduced from the physical meaning of the pair distribution function in the teaching course. At the same time, the statistical method of the pair distribution function in the simulation is explained. Taking the cutting-edge scientific and technological achievements of liquid Nb and Ni-Zr alloy as examples, the curve characteristics of the pair distribution function corresponding to different ordered degrees are analyzed, and the internal relationship between the physical process and the mathematical model is taught. Through introducing representative liquid structure varied from temperature, the pair distribution function and liquid structure are taught synchronously. The characterization process of pair distribution function in liquid alloy structure is explained vividly and profoundly.